Answers
Answer:
x = -3.73 or -0.27
Step-by-step explanation:
From the question,
x²+ 4x+1 = 0
This is a quadratic equation, and it can be solved using any of the 3 methods.
Using completing the square method,
x²+4x = -1
Add half the coeffiecient of x, square it and add it to both side of the equation.
The coefficient of x is 4,
half the cofficient is 2
Add 2² to both side of the equation
x²+4x+2² = -1+2²
(x+2)² = 3
x+2 = ±√3
x+2 = ±1.73
Either,
x+2 = -1.73
x = -1.73-2
x = -3.73
or
x+2 = +1.73
x = =1.73-2
x = -0.27
Related Questions
Describe the behavior of the graph below.
A.The graph is decreasing for all values of x.
B.
The graph is increasing for all values of x.
C.
The graph is decreasing only when x > 0.
D.
The graph is increasing only when x > 0.
Answers
The behavior of the function represented by the given graph: A) The graph is decreasing for all values of x.
What is behavior of function?As part of exploring how functions change, we can identify intervals over which the function is changing in specific ways. We say that a function is increasing on an interval if the function values increase as the input values increase within that interval. Similarly, a function is decreasing on an interval if the function values decrease as the input values increase over that interval.
In the given graph, the value of y decreases as x increases. Therefore, the given graph represents a decreasing function.
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Subtract.
(2/9v)-(-1/3v+5/9)
Answers
Answer:
Use Desmos the calculator
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answers
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answers
Answer:
RQ
Step-by-step explanation:
ML:RQ = MN:RS = LN:QS (corr side, similar triangles)
Exact Value Please.
Answers
Answer:
30
Step-by-step explanation:
Scientific calculator will help answering this
A square pyramid how many number of faces?
A. 5
B. 6
C. 7
D. 8
Answers
Answer:
I believe a pyramid has A. 5 faces
Answer:
A. 5
Step-by-step explanation:
A. 5 faces
The area of a rectangle is x2 - 6x – 27 and the length is
X - 9. What is the width?
Answers
A
=
x
2
+
6
x
−
27
=
(
x
+
9
)
(
x
−
3
)
the width is x - 3
~iwa-chan
) Hiroki's goal is to collect $40 for a school fundraiser. He has already collected $26.50. Hiroki wants
to know how much more money he needs to collect.
that use the word correctly
ices, press the "Check Me" butto
6 POTE
.) Let m be the amount of money Hiroki still needs to collect.
Describe the situation with an equation.
this town made the first eleva
er and wrote a note on it
vater from the sink is leaking
color of copper coins
m
26.50
40
corper pipes for this project
De
Answers
Answer:
$13.50
Step-by-step explanation:
Subtract 40 from 26.50 to get the answer
Find the standard deviation for the test scores
given in the following stem-and-leaf plot.
Answers
ACDE is reflected over the x-axis.
What are the vertices of AC'D'E'?
A. C’(-8,1), D’(-6,5), E’(-2,4)
B. C’(8,-1), D’(6,-5), E’(2,-4)
C. C’(-1,-8) D’(-5,-6), E’(-4,-2)
D. C’(8,1), D’(6,5), E’(2,4)
Answers
Answer:
A is the answer
Step-by-step explanation:
Find the area of the triangle below.
Answers
Answer:
area of a triangle is 1/2×h×b
Step-by-step explanation:
1÷2×12×13
=78
Help help me please ASAP
Answers
Answer:
20
Step-by-step explanation:
b1+b2÷2×h
6+2=8
8÷2=4
4×5=20
Answer:
20 in²
Step-by-step explanation:
Area of trapezoid = (1/2)*(sum of parallel sides)*height
Height given=5 in
Sum of parallel sides=b1+b2=6 in+2 in=8 in
Area=(1/2)*8*5=20 in²
Matteo has &400 in his saving account. On average he spends $10 per week on buying apps. Luca has $200 in his savings account. He is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?
Answers
Answer: By the 8th week.
Step-by-step explanation:
Let the time that matteo and luca have the same amount of money be represented by x.
The information given in the question can be formed into an equation as:
400 - 10x = 200 + 15x
Collect like terms
400 - 200 = 15x + 10x
200 = 25x
x = 200/25
x = 8
Matteo and Luca will have the same amount of money by the 8th week.
The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?
15 feet
24 feet
12 feet
25 feet
Answers
Answer: pretty sure 25 feet
Step-by-step explanation:
HELPP SOMEONEEE plssss
Answers
Answer:
m=15d
Step-by-step explanation:
m=15d
m=15x20
m=300
300 messages
Help plz!!!!!!! Help plzzzz!!!!!!
Answers
-1 = 0.6
0 = 3
1 = 15
2 = 75
Look at the triangles shown below.
с
xlam
А
3 D
6
E
Which statement is true?
(x + y)
O Since AAEC ~ ADB according to the side-angle-side similarity postulate, then
2 6
x (x + y)
O Since AAEC ~ AADB according to the side-angle-side similarity postulate, then
2 Z
9 3
O Since AAEC - AADB according to the angle-angle similarity postulate, then
x
6 3
O Since AAEC ~ AADB according to the angle-angle similarity postulate, then
(x + y)
(x + y)
x
Answers
Answer:
I believe it is:
Since △AEC~△ADB according to the angle-angle similarity postulate, then 9(x+y)=3x9(x+y)=3x.
Step-by-step explanation:
write a unit rate for 25 pounds in 10 weeks
Answers
Step-by-step explanation:
Answer:
= 2.5 Pounds per Week
Showing Work
This is a fraction equal to
25 Pounds ÷ 10 Weeks
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 10
25 Pounds ÷ 10
10 Weeks ÷ 10
=
2.5 Pounds÷1 Week
=
2.5 Pounds
__________
Week
= 2.5 Pounds per Week
which graph shows the solution to the system of equations?y =-2x+1 and y =-3/2
Answers
Answer:
(1.25, -1.5)
Step-by-step explanation:
The system of equations:
y = -2x + 1
y = -3/2
So we know that the two lines meet at the point where y = -3/2 = -1.5
∴ -1.5 = - 2x + 1
2x = 1 + 1.5 = 2.5
x = 2.5 ÷ 2 = 1.25
So the solution to this system of equation (or where the two lines meet) is the point (1.25, -1.5)
Jackson has a sprinkler that rotates in a circle with a 6 foot radius. What is the approximate area that Jackson can expect the sprinkler to cover?
A.
37.68 ft2
B.
113.04 ft2
C.
18.84 ft2
D.
144 ft2
PLease help!!
Answers
Answer:
B.
Step-by-step explanation:
I think B is the answer.......
The five values for a data set are: minimum=11 Lower quartile=12 Median=23.5 Upper quartile=27 Maximum=33 Where will the different sections of the box plot be located?
Answers
Answer:
The answer is "Please find the given plot which is shown in the figure".
Step-by-step explanation:
[tex]Minimum = 11\\\\Lower \ quartile = Q_1 = 12\\\\Median = Q_2 = 23.5\\\\Upper \ quartile = Q_3 = 27\\[/tex]
Boxes are between 12 and 27 [tex]\to Q_1 \ \ to \ \ Q_3[/tex]
The box divides a line at 23.5 [tex]\to Q2[/tex]
The left whisker would be 11-12 [tex]\to Minimum \ \ to\ Q_1[/tex]
The proper whisker will be 27 to 33 [tex]\to Q_2 \ \ to \ \ Maximum[/tex]
Which equations represent linear functions? Select all that apply.
y=−x2+4y is equal to negative x squared plus 4
y=5−x2y is equal to 5 minus x over 2
x−3y=3x minus 3 y is equal to 3
8y=6x8 y is equal to 6 x
y=6x
Answers
Answer: x-3y=3x
8y=6x8
y=6x
Step-by-step explanation:
Meaning of linear equationA linear equation is a equation that goes at a constant pace and won't change overtime, so functions like x squared and functions that multiply x and y together doesn't go at a constant pace, there not linear equations, but functions like y=mx, M representing any constant, that is a linear equation, therefore x-3y=3x8y=6x8
y=6x
Are the answers to your Question,The equations that represent linear functions are x − 3y = 3x and y = 6x , so options D and E are correct.
What is a linear equation?A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line. Functions like y = mx, where m can be any constant, are considered linear equations.
The given equations,
y = −x² + 4y, y = 5 − x²y, 8y = 6x⁸y on solving get a degree more than 1 then the equation is a linear function, only
x − 3y = 3x
3y = -2x and y = 6x have degree one, so they are linear
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Simon's salary has increased by 6% p.a. over the past three years. it is now $35730.40 p.a.
a) what did he earn per year three years ago
b) what is his gross monthly salary at the present rate
c) His deductions each month amount to 22.5% of his gross salary. what is his net pay per month?
Answers
Answer:
Step-by-step explanation:
The employee earns $10,100/month, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $124,740 during the year. He has requested that his employer withhold 12% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The Simon's salary at present = $35730.40 p.a.
Increased rate = 6% = 0.06
(a) Simon's salary three years ago:
⇒ [tex]\$35730.40(0.06)[/tex]
⇒ [tex]\$2143.824[/tex]
Original salary of Simon,
⇒ [tex]35730.40-2143.824[/tex]
⇒ [tex]\$33586.576[/tex]
(b) Gross monthly salary at the present:
⇒ [tex]\frac{33586.57}{12}[/tex]
⇒ [tex]2798.88[/tex]
(C) Net pay per month:
Deductions each month amount to 22.5% of his gross salary,
⇒ [tex]22.5\%=0.225[/tex]
⇒ [tex]2798.88(0.225)[/tex]
⇒ [tex]\$629.79[/tex]
Thus net pay per month,
⇒ [tex]2798.88-629.79[/tex]
⇒ [tex]\$2169.09[/tex]
Hence we can conclude that
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
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4x^2 - 7x -2 = 0
PLEASE HELP! I WILL MARK AS BRAINLIEST!
Answers
Answer:
2,-1/4
you can use the calculator to find the answer .
depending on your calculator you can find it in different ways but the most common one that works on most of tge calculators is pressing mode button the press 5 then 3. then put a as tge coeffcient of x^2 and b as coefficient of x and c as the number without any x
Which angles are complementary to each other? Select all that apply.
Answers
The complementary angles are ∠1 and ∠5. The correct option is D.
What are complementary angles?Complementary angles are two angles whose measures add up to 90 degrees. In other words, if angle A and angle B are complementary, then:
A + B = 90 degrees
A = 90 - B
B = 90 - A
For example, if angle A measures 30 degrees, then angle B would measure 60 degrees to make a complementary pair. Complementary angles are often used in geometry and trigonometry to solve problems involving right triangles and other geometric shapes.
The two angles ∠1 and ∠5 have the sum of 90°. These angles are complementary to each other.
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Point R is located at (8, 13). Where is R' after a translation 8 units left and 6 units down?
Answers
Answer:
R' = (0,7)
Step-by-step explanation:
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y - x = -12.
Answers
Answer:
3y=x-12
y=x/3-4
m=1/3
At (18,2)
y-2=1/3(x-18)
y-2=x/3 - 6
y=x/3 - 4
If a/b = 2/3, then 3a = ___.
Answers
Answer:
2b
Step-by-step explanation:
a/b = 2/3
3a = 2b
The image of the point (4, 3)(4,3) under a translation is (5, 1)(5,1). Find the coordinates of the image of the point (9, -3)(9,−3) under the same translation.
Answers
Hope it helps!
Which equation represents a line that is perpendicular to the line represented by
4x + y = 7 and passes through the point (1, 8)?
Question 2 options:
y = 14x + 334
y = 4x + 4
y = 14x + 314
y= −4x + 12
Answers
Answer:y= -4x + 12
Step-by-step explanation: i graphed it